The only thing I need helpwith is a simple way to find the test statstic. Please

Question

The only thing I need helpwith is a simple way to find the test statstic. Please show all work.

(4pt) The FDA has recently requested that every effort be made to include individuals of all major ethnic backgrounds when enrolling subjects in clinical trials. In one randomly selected clinical trial, the breakdown by major ethnic group of the subjects is given below, along with the percent of individuals from each ethnicity in the general American population. Did this study successfully match the ethnic diversity of the American population?

The test statistic =__1709.79, its degrees of freedom =____4_________, the p-value=_____<0.0005___________. The null hypothesis Ho corresponding to the above question should be ____rejected______________ (rejected/not rejected).

Ethnicity White Black Hispanic Asian or Pacific Islander Native American Count in study Percent in U.S. 30,153 75.6 3,317 10.8 1,507 9.1 722 3.8 o.7 149

Explanation / Answer

from above:

The test statistic =__1709.79, its degrees of freedom =____4_________, the p-value=0.0000_____<0.0005___________. The null hypothesis Ho corresponding to the above question should be ____rejected______________ (rejected/not rejected).

observed Expected Chi square X Probability O E=total*p =(O-E)^2/E white 0.756 30153.000 27101.09 343.68 black 0.108 3317.000 3871.58 79.44 hispanic 0.091 1507.000 3262.17 944.35 Asian 0.038 722.000 1362.22 300.90 Native American 0.007 149.000 250.94 41.41 1 35848 35848 1709.7735

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